{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:ZFT5XJW336ALFCGS62SDNGFMIQ","short_pith_number":"pith:ZFT5XJW3","schema_version":"1.0","canonical_sha256":"c967dba6dbdf80b288d2f6a43698ac4429edd07b7c8bbbf70aa05f8313e0aca5","source":{"kind":"arxiv","id":"1002.2744","version":1},"attestation_state":"computed","paper":{"title":"On intermediate subfactors of Goodman-de la Harpe-Jones subfactors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.OA","authors_text":"Feng Xu","submitted_at":"2010-02-14T02:39:51Z","abstract_excerpt":"In this paper we present a conjecture on intermediate subfactors which is a generalization of Wall's conjecture from the theory of finite groups. Motivated by this conjecture, we determine all intermediate subfactors of Goodman-Harpe-Jones subfactors, and as a result we verify that Goodman-Harpe-Jones subfactors verify our conjecture. Our result also gives a negative answer to a question motivated by a conjecture of Aschbacher-Guralnick."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1002.2744","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2010-02-14T02:39:51Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"93bc5e2f75d79f376622ec15975191b04f8de8d5e884fc642ede632f5bd966f3","abstract_canon_sha256":"585cdaccfe25b3d32a7b370f0d1504fbc6ae9a6624a14e69590cc8158909e210"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:09:08.499182Z","signature_b64":"t1yGdhX9Gcxr4C6Nox2cPQQ8i2iG4pFWyIA7akLhniq3ueG/4DFUxkMkTWZ/f6Yrvspy8JMcR0huzoTNWezBAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c967dba6dbdf80b288d2f6a43698ac4429edd07b7c8bbbf70aa05f8313e0aca5","last_reissued_at":"2026-05-18T02:09:08.498480Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:09:08.498480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On intermediate subfactors of Goodman-de la Harpe-Jones subfactors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.OA","authors_text":"Feng Xu","submitted_at":"2010-02-14T02:39:51Z","abstract_excerpt":"In this paper we present a conjecture on intermediate subfactors which is a generalization of Wall's conjecture from the theory of finite groups. Motivated by this conjecture, we determine all intermediate subfactors of Goodman-Harpe-Jones subfactors, and as a result we verify that Goodman-Harpe-Jones subfactors verify our conjecture. Our result also gives a negative answer to a question motivated by a conjecture of Aschbacher-Guralnick."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.2744","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1002.2744","created_at":"2026-05-18T02:09:08.498564+00:00"},{"alias_kind":"arxiv_version","alias_value":"1002.2744v1","created_at":"2026-05-18T02:09:08.498564+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.2744","created_at":"2026-05-18T02:09:08.498564+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZFT5XJW336AL","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZFT5XJW336ALFCGS","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZFT5XJW3","created_at":"2026-05-18T12:26:17.028572+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZFT5XJW336ALFCGS62SDNGFMIQ","json":"https://pith.science/pith/ZFT5XJW336ALFCGS62SDNGFMIQ.json","graph_json":"https://pith.science/api/pith-number/ZFT5XJW336ALFCGS62SDNGFMIQ/graph.json","events_json":"https://pith.science/api/pith-number/ZFT5XJW336ALFCGS62SDNGFMIQ/events.json","paper":"https://pith.science/paper/ZFT5XJW3"},"agent_actions":{"view_html":"https://pith.science/pith/ZFT5XJW336ALFCGS62SDNGFMIQ","download_json":"https://pith.science/pith/ZFT5XJW336ALFCGS62SDNGFMIQ.json","view_paper":"https://pith.science/paper/ZFT5XJW3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1002.2744&json=true","fetch_graph":"https://pith.science/api/pith-number/ZFT5XJW336ALFCGS62SDNGFMIQ/graph.json","fetch_events":"https://pith.science/api/pith-number/ZFT5XJW336ALFCGS62SDNGFMIQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZFT5XJW336ALFCGS62SDNGFMIQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZFT5XJW336ALFCGS62SDNGFMIQ/action/storage_attestation","attest_author":"https://pith.science/pith/ZFT5XJW336ALFCGS62SDNGFMIQ/action/author_attestation","sign_citation":"https://pith.science/pith/ZFT5XJW336ALFCGS62SDNGFMIQ/action/citation_signature","submit_replication":"https://pith.science/pith/ZFT5XJW336ALFCGS62SDNGFMIQ/action/replication_record"}},"created_at":"2026-05-18T02:09:08.498564+00:00","updated_at":"2026-05-18T02:09:08.498564+00:00"}